25 × 13 × 71
1, 2, 4, 8, 13, 16, 26, 32, 52, 71, 104, 142, 208, 284, 416, 568, 923, 1136, 1846, 2272, 3692, 7384, 14768 and 29536
No.
Its nearest Fibonacci number neighbors are 28657 and 46368.